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An algorithm to generate the ideals of a partial order

Operations Research Letters, 1986
Generating the ideals of a partially ordered set is an important, frequently occurring problem in scheduling, reliability, sensitivity analysis for network flows and other combinatorial optimization problems. In this paper we present an algorithm which generates all the ideals of a partial order on n elements in O(n) time per ideal.
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Generalized partial orders for polar code bit-channels

2017 55th Annual Allerton Conference on Communication, Control, and Computing (Allerton), 2017
We study partial orders (POs) for the synthesized bit-channels of polar codes. First, we consider complementary bit-channel pairs whose Bhattacharyya parameters over the binary erasure channel (BEC) exhibit a symmetry property and provide insight into the alignment of polarized sets of bit-channels for the BEC and general binary-input memo-ryless ...
Wei Wu 0028, Bing Fan, Paul H. Siegel
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Generalized intervals in partially ordered groups

Mathematical Proceedings of the Cambridge Philosophical Society, 1959
1. Introduction. The present paper is chiefly concerned with a generalization, to be known as a ‘D-interval’, of the notion of interval or segment in an arbitrary partially ordered group. This idea is originally due to Duthie (2), but was developed by him only in a lattice.
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Generalized cyclic contractions in partially ordered metric spaces

Optimization Letters, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ali Abkar, Moosa Gabeleh
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On methods for generating random partial orders

Operations Research Letters, 1986
Three parametric methods for generating random partial orders on a fixed set are presented. Simulation is used to examine the relationship between the method parameters and the densities of the partial orders that are generated by the methods. Regression analysis is used to develop equations to estimate the parameters that should be used to obtain ...
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Generalized o-minimality for partial orders

Siberian Advances in Mathematics, 2013
Summary: We consider partially ordered models. We introduce the notions of a weakly (quasi-) p.o.-minimal model and a weakly (quasi-) p.o.-minimal theory. We prove that weakly quasi-p.o.-minimal theories of finite width lack the independence property, weakly p.o.-minimal directed groups are abelian and divisible, weakly quasi-p.o.-minimal directed ...
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New R-implication generated by T-partial order

Computational and Applied Mathematics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Dynamic Partial Orders and Generalized Heaps

1990
Dynamic Partial Orders and Generalized Heaps. Classical and recent results are surveyed in the development of efficient representations of dynamic partial orders by heaps and their generalizations.
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A generalized model companion for a theory of partially ordered fields

Journal of Symbolic Logic, 1979
The notion of a model companion for a first-order theory T was introduced and discussed in [1] and [2] as a generalization of the concept of a model completion of a theory. Both concepts reflect, on a general model theoretic level, properties of the theory of algebraically closed fields.
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Mechanism of gating and partial agonist action in the glycine receptor

Cell, 2021
Timo Greiner   +2 more
exaly  

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